Derek threw a baseball across the field. the path of the ball can be represented by the equation h =-16t ² +75t+5, where t represents the number of seconds the ball was in the air, and h, represents the height of the ball in feet. the baseball was 2 feet above ground after how many seconds?
f 4.5 seconds
g 4.75 seconds
h 4.73 seconds
j 4.8 seconds

In order to solve this problem, we plug in 2 for h and then solve for t.



Next, we subtract 2 from both sides.



Now, we apply the quadratic formula.



Now, we see what T is if we add 76.27 and if we subtract 76.27.  First, let's try adding it.



Obviously, the ball was not in the air for a negative amount of side.  Let's try subtracting 76.27.



Aha!  We have found our answer.  The ball was in the air for 4.73 seconds, so H is the correct answer.